find the zero of the following function: f(×)=(×-1)/(×-3)​

Answers

Answer 1

Answer:

\(\boxed{\sf \ \ x = 1 \ \ }\)

Step-by-step explanation:

Hello,

First of all we need to take x different from 3 as dividing by 0 is not allowed

then for x real different from 3

\(f(x)=0\\\\<=> \dfrac{x-1}{x-3}=0\\\\<=> x-1 = 0\\\\<=> x = 1\)

hope this helps

Answer 2
the roots (zeros) of the function are x=1

Related Questions


Triangle MNO is a right triangle with one leg = 15ft and the other leg = 18ft. Calculate the
length of the hypotenuse to the nearest hundredth of a foot (2 decimal places)

Answers

Answer:

Length of the hypotenuse = 23.43ft

Step-by-step explanation:

First leg = 15ft

Second leg = 18ft

Length of the hypotenuse = ?

In a right angle triangle,

Hypotenuse^2 = opposite^2 + Adjacent^2

Let first leg and second leg of the triangle be opposite and adjacent respectively

Hypotenuse^2 = opposite^2 + Adjacent^2

= 15^2 + 18^2

= 225 + 324

= 549

Hypotenuse^2 = 549

Find the square root of both sides

√Hypotenuse^2 = 549

Hypotenuse = 23.43ft to the nearest of a hundredth

Length of the hypotenuse = 23.43ft

When x=-3, then y=______​

When x=-3, then y=______

Answers

Answer:-1

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

the line pass through (-3,-6)

If x = 6 and y = 4, work out the value of the following:

4x + y

2y squared

( x - y ) squared

Answers

Step-by-step explanation:

If x = 6 and y = 4. Substitute x and y in the expression.

4x+y

4(6)+(4)

24+4

28

2y²

2(6)²

2(36)

72

( x - y )²

(6+4)²

(10)²

100

The owner of a garden center pays $12 for each birdbath. She sells them for 55% more than she paid. Decide whether each expression represents the selling price for b birdbaths.Choose Yes or No for each expression.A.12b1 1. 55(12b) u Yesu Nob. 12(0 . 45b) u Yesu Noc.12b(1. 55)u Yesu Nod. 12(0 . 55b) u Yesu Noe. 12b(1 1 0.55)u Yesu No

Answers

Answer:

\(Selling\ Price = 12b(1.55)\)

Step-by-step explanation:

Given

\(Cost\ Price = \$12\)

\(Selling\ Price = 55\%\ more\)

Required

Write an expression for the selling price for b birdbaths

This selling price for 1 birdbath is calculated as:

\(Selling\ Price = Cost\ Price + 55\% * Cost\ Price\)

Substitute 12 for Cost Price

\(Selling\ Price = 12 + 55\% * 12\)

Factorize:

\(Selling\ Price = 12(1 + 55\%)\)

Express percentage as decimal

\(Selling\ Price = 12(1 + 0.55)\)

\(Selling\ Price = 12(1.55)\)

For b birdbaths, the selling price is:

\(Selling\ Price = 12(1.55) * b\)

\(Selling\ Price = 12b(1.55)\)

The options are not clear; However \(12b(1.55)\) answers the question.

Find the 11th term of the geometric sequence 1, 3, 9, ....

Answers

Answer:

So lets calculate, we know that the common multiplier is 3. So we can use the geometric sequence formula.

(ar)^(n-1)

So we have 1*3 = 3. 3 to the power of 11-1 = 10. So our answer is 3^10 or 59049. Thats the answer

59049

The 11th term of the geometric progression is 59049

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

The first term of the geometric progression is a = 1

The common ratio r = second term / first term

                                 = 3/1

                                 = 3

The number of terms n = 11

So , the equation to calculate the nth term of a GP is

aₙ = arⁿ⁻¹

Substituting the value of a , n and r  we get

a₁₁ = ar¹¹⁻¹

a₁₁ = ar¹⁰

a₁₁ = 3¹⁰

a₁₁ = 59049

Therefore the value of a₁₁ is 59049

Hence , The 11th term of the geometric progression is 59049

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What is the length of each side of a cube with the total surface area of 96 in??
А
4 in.
B
12 in.
16 in
D
24 in.

Answers

Answer:

Step-by-step explanation:

4in

If one angle of a triangle measures 100 degrees and another
angle is 45 degrees, then what is the measurement of the
missing angle?

Answers

Answer:

35

Step-by-step explanation:

A sheet of plywood is 5/8 in. thick. How tall is a stack of 21 sheets of plywood?

Answers

Answer:

13.125 inches

Step-by-step explanation:

5/8*21=13.125

Derivative of 6^(4x)

Add step by step explanation

Answers

Answer:

4*6^4x ln(6)

Step-by-step explanation:

6^(4x)

6^4x

-d/dx[6^4x]

ln(6)*6^4x*d/dx[4x]

ln(6)*6^4x*4*d/dx[x]

4ln(6)*6^4x*1

4ln(6)*6^4x

4*6^4x ln(6)

raina, tom, and goran sent a total of text messages during the weekend. goran sent times as many messages as raina. tom sent more messages than raina. how many messages did they each send?

Answers

On solving the provided question we can say that - Maria sent = 25 texts, Lamar sent  = 18 texts and Joe sent =  36 texts.

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. A mathematical statement called an equation is made up of two expressions connected together by the equal sign. An equation is, for instance, 3x - 5 = 16. This equation's solution yields the value of the variable x as x = 7. The definition of an equation in algebraic terms is a mathematical assertion that two mathematical expressions are equal. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign.

\(4x= 100\\x = 25\)

Maria sent  = 25 texts

Lamar sent  = 18 texts

Joe sent =  36 texts.

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To "execute" the laws means to

Interpret the laws
Create laws
Make new law
carry out the laws

Answers

Answer:

carry out laws and put them in action

What is the Absolute value of |-9-8|?

Answers

Answer:

17

Step-by-step explanation:

|-9-8|

Solve what is inside the absolute value

|-17|

Then take the non negative result

17

Answer:

17

Step-by-step explanation:

The answer is 17 there u go

A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?

Answers

Answer: 480 in^3

Step-by-step explanation:

v= l * w*h

v = 12 * 8 * 5

v=  480

What are the roots of the polynomial equation x superscript 4 baseline x cubed = 4 x squared 4 x? use a graphing calculator and a system of equations.

Answers

Therefore, the roots of the polynomial equation \(x^4 - x^3 = 4x^2 + 4x\) are infinite, and it is not possible to find them precisely using a graphing calculator or a system of equations.

To find the roots of the polynomial equation \(x^4 - x^3 = 4x^2 + 4x\), we can utilize a graphing calculator and a system of equations. Here's how you can proceed: Rewrite the equation to bring all terms to one side:

\(x^4 - x^3 - 4x^2 - 4x = 0\)

Enter the equation into a graphing calculator or any equation-solving software. Look for the x-intercepts or roots of the equation on the graphing calculator. These are the values of x where the graph intersects the x-axis. Alternatively, we can solve the equation using a system of equations. Let's set up the system:

Consider the original equation:\(x^4 - x^3 = 4x^2 + 4x.\)

Rearrange the equation to bring all terms to one side:

\(x^4 - x^3 - 4x^2 - 4x = 0\)

Introduce a new variable, y, to create a system of equations:

\(x^4 - x^3 - 4x^2 - 4x = 0 (Equation 1)\)

\(y = x^4 - x^3 - 4x^2 - 4x (Equation 2)\)

Now, we can solve this system of equations by eliminating y. Subtract Equation 2 from Equation 1:

0 = 0

The result is always true, indicating that there is an infinite number of solutions. This suggests that the equation has infinitely many roots.

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A store is having a 12-hour sale. The total number of shoppers who have entered the store thours after it begins is modeled by the function S defined by $S(t)=0.5 t^4-16 t^3+144 t^2$ for $0 \leq t \leq 12$. At time $t=0$, when the sale begins, there are no shoppers in the store. The rate at which shopper's leave the store, measured in shoppers per hour, is modeled by the function $L$ defined by $L(t)=-80+\frac{4400}{t^2-14 t+55}$ for $0 \leq t \leq 12$. According to the model, how many shoppers are in the store at the end of the sale (time $t=12$ )? Give your answer to the nearest whole number.

Answers

The no: of shoppers at the end of the sale is 196 shoppers.

What do you mean by integration?

The process of combining smaller parts into a single, cohesive system is known as integration.

What is an example of integration?

When different individuals or things are brought together, such as when all of the district's elementary school students attend the new middle school or when snowboarding is introduced to all ski slopes, integration takes place.

The sum of the number of customers within the store at any one time is equal to the number of customers inside at the beginning of the sale plus the number of customers who have just entered minus the number of customers who have just departed.

Given that there were none at the store when the sale began, the assumption is that there were 0 customers there.

The number of customers who have entered the store is provided by the equation S(t)=0.5t4-16t 3 +144t 2S(t)=0.5t 4 16t 3 +144t 2. Accordingly, at t=12t=12, the number of customers who have visited the store is given by S(12)=0.5(12)4-16(12)3+144(12)2=3456S(12)=0.5(12) 4 16(12

The pace at which customers depart the store is determined by the equation L(t)=-80+dfrac-4400t-2-14t+55.

L(t)=−80+ \st \s2 \s −14t+55 \s4400

The total number of customers who have left the store as of time t=12t=12 is, therefore, 012L(t);dt=int 012left(-80+dfrac4400t2-14t+55right);dt approx3260 0 12 L(t)dt= 0 12 (80+ t 2 14t+55 4400)d (Find the value of this integral using a calculator.)

At the conclusion of the sale, there will be 0+S(12)-displaystyleint 012L(t);dt=0+3456-3260=1960+S(12) 0 12 L(t)dt=0+34563260=196 customers in the store.

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Help pls in three it’s homework don’t really have much time left

Help pls in three its homework dont really have much time left

Answers

Answer:

3. Blanks from top to bottom: 3, 9, 54, 62

5. Blanks from top to bottom: 2, 8, 4, 80, 640

Step-by-step explanation:

Use PEMDAS!

3.

6 × (36 ÷ 12)^2 + 8 = 6 × (___)^2 + 8

Solve for the left side to find the blanks:

6 × (3)^2 + 8

6 × 9 + 8

54 + 8

62

5.

320 ÷ (11 - 9^3/2) × 8 = 320 ÷ (___^3/2) × 8

Solve for the left side to find the blanks:

320 ÷ (2^3/2) × 8

320 ÷ (8/2) × 8

320 ÷ 4 × 8

80 × 8

640

SHORT EASY QUESTION PLS HELP)

Find the exact volume if the radius is 7 inches and the height is 18 inches.

SHORT EASY QUESTION PLS HELP) Find the exact volume if the radius is 7 inches and the height is 18 inches.

Answers

Answer:

V≈2770.88

Step-by-step explanation:

The radious is 7 inches, that means the diameter is 14 inches.

The height is 18 inches. so...

V=πr2h=π·72·18≈2770.88472

So hence, your answer is

V≈2770.88

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Thanks!

Have a great day!

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the anova procedure is a statistical approach for determining whether or not

Answers

ANOVA is a valuable tool for comparing means across multiple groups and determining if there are significant differences among them.

What is ANOVA (Analysis of Variance)?

ANOVA (Analysis of Variance) is a statistical procedure used to compare the means of two or more groups to determine if there are statistically significant differences among them. It helps to determine whether the observed differences in group means are due to actual group differences or simply due to random variation.

The ANOVA procedure compares the variation within each group (within-group variability) to the variation between the groups (between-group variability). If the between-group variability is significantly larger than the within-group variability, it suggests that there are true differences in the means of the groups.

By performing hypothesis testing, ANOVA calculates an F-statistic and compares it to a critical value from the F-distribution. If the calculated F-statistic exceeds the critical value, it indicates that there are significant differences in means among the groups, and we reject the null hypothesis that all group means are equal.

ANOVA does not identify which specific group means are different from each other; it only tells us if there is a statistically significant difference among the means. To determine which groups are different, posthoc tests or pairwise comparisons can be conducted.

Overall, ANOVA is a valuable tool for comparing means across multiple groups and determining if there are significant differences among them.

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Solve for x:
(5x + 12) = 18

Answers

Answer:

x=6/5

Step-by-step explanation:

5x+12=18→ 5x=18-12

5x=6 divide

x=6/5

Answer:

x=6/5

Step-by-step explanation:

(5x+12)=18

5x+12=18

5x=18-12

5x=6

x=6/5

In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class does not play an instrument? PLEASEEE HELP

In a class of students, the following data table summarizes how many students play an instrument or a

Answers

This probability that a randomly selected student from the classroom doesn't really play an item is , which equals 0.5 or 50%.

We have,

Probability is the possibility of something occurring to occur, to clarify. We may talk about the possibility with one result, or the likelihood of several outcomes, when we don't understand how an occurrence will turn out. Biostatistics seems to be the study of things with a probability distribution.

Is the ace a playing card?

The number one is known as the ace and is denoted by the letter A in the majority of Western card games. The ace scores highest, surpassing even the king, in games predicated on the supremacy of one level over the other, such as the majority of trick-taking games.

The total of a number of masculine and female pupils involved in sports  represents the total amount of pupils that don't play an instrument.

The sum of the four numbers in the table,  , corresponds to the total amount of pupils in the class, or 60 .

So, 0.5 or 50% is the likelihood that a randomly selected student from of the class doesn't really play an instrument.

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A quadrilateral has vertices J(−7, −2), K(0, 4), L(9, 2), and M(2, −4). What is the most precise name for the quadrilateral?


parallelogram



rhombus



square



rectangle

Answers

The most precise name for the quadrilateral with vertices J(-7, -2), K(0, 4), L(9, 2), and M(2, -4) is a parallelogram.

To determine the most precise name for the quadrilateral, we can analyze its properties.

A parallelogram is a quadrilateral with opposite sides that are parallel. By examining the coordinates of the given vertices, we can calculate the slopes of the line segments connecting them. If the slopes of the opposite sides are equal, then the quadrilateral is a parallelogram.

For the given coordinates, the slopes of the line segments JK, KL, LM, and MJ are all different. Therefore, the quadrilateral is not a parallelogram.

Since the quadrilateral does not satisfy the properties of a parallelogram, it cannot be classified as a rhombus, square, or rectangle, which are specific types of parallelograms.


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Find the approximate radius of a circle with a circumference of 34.48 inches. Use 3.14 for pie. Round to the nearest hundredth. Please provide steps.

Answers

Answer:

around 5.5 inches

Step-by-step explanation:

34.48 = 2rπ

34.48/π = 2r = around 11

r = 11/2

The radius of the circle is equal to 5.49 inches.

What is the area and circumference of a circle?

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

here, we have,

Given here:

Circumference as 34.48 inches and π=3.14

Now circumference of the circle is given by

2πr=34.48

r=34.48/2×3.14

r=5.49 inches

Hence, The radius of the circle is equal to 5.49 inches.

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HELP I NEED HELP PLEASE I NEED TO FINISH THIS RIGHT NOW ITS URGENT. WILL BE OFFERED BRAINLIEST

HELP I NEED HELP PLEASE I NEED TO FINISH THIS RIGHT NOW ITS URGENT. WILL BE OFFERED BRAINLIEST

Answers

Answer:

102

Step-by-step explanation:

I COULD be wrong but here ya go

4=51 + 51= 102
And make sure to add those dot things at the top. Lol I forgot what there called haha how this helps!

FILL THE BLANK.
in binary representation, any unsigned whole number n is encoded by a sequence of n 1 1s. _________________________

Answers

Unsigned whole numbers in binary are represented by a sequence of 1s, with the number of 1s equal to the value of the number itself.

In binary representation, numbers are expressed using only 0s and 1s. When dealing with unsigned whole numbers, the value of the number determines the length of the sequence of 1s used for its representation. For example, the decimal number 5 would be represented in binary as "11111" since it consists of five consecutive 1s. Similarly, the decimal number 10 would be represented as "1111111111" since it consists of ten consecutive 1s. This encoding scheme allows for a simple and efficient representation of positive whole numbers in binary.

Binary representation provides a concise and efficient way to represent numbers in computing systems. It is the foundation of digital communication and storage, enabling the manipulation and processing of numerical data. Understanding how numbers are encoded in binary is essential for working with computer systems, algorithms, and programming languages.

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Please answer this question

Please answer this question

Answers

The Pythagorean Theorem is explained in this problem.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.

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What is one way the Federal Reserve can reduce the amount of money available in the economy?
A. Raising the discount rate
B. Selling treasury securities
C. Buying treasury securities
D. Lowering the interest on reserves​

Answers

Answer:

B. Selling treasury securities

Step-by-step explanation:

I'm taking the quiz

The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.

What is a federal reserve?The Federal Reserve can decrease the money supply by increasing the discount rate. a. Raising the discount rate provides depository institutions a minor incentive to borrow, thereby decreasing their reserves and lending activity. The U.S. government created the Federal Reserve, the nation's central bank, to control the money supply and contain economic calamities.One of the primary objectives of the Federal Reserve exists to function as the lender of last resort, permitting banks to borrow from the central bank when needed.The Fed operates three immediate tools in handling the money supply and observing stable economic growth. The tools exist (1) reserve needs, (2) the discount rate, and (3) open market operations.Each of these controls the money supply in different forms and can be utilized to obtain or develop the economy.The Federal Reserve can decrease the amount of money general in the economy stands buying treasury securities.

Therefore, the correct answer exists as option B. Selling treasury securities.

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please help me with this question

please help me with this question

Answers

44.5 because u measure the length with width

The formula for the volume of a sphere is V=4/3πr³, where V is the volume and r is the radius. Solve the formula for r, and then use it to answer the question.

The volume of a soccer ball is about 371 cubic inches.

What is the radius of the soccer ball, to the nearest tenth of an inch? Use 3.14 for π. Help.

The formula for the volume of a sphere is V=4/3r, where V is the volume and r is the radius. Solve the

Answers

Answer:

4.5 inches to the nearest tenth

Step-by-step explanation:

V=4/3πr^3

Divide both sides by 4/3π:

r^3 =  V / 4/3π

r =  ∛ (V / 4/3 π)

When V = 371 inches:

r =  ∛ (371/ 4/3 π)

= 4.46 in

Answer:

B.  4.5 in

Step-by-step explanation:

volume of sphere V = 4/3 π r³

where V = 371 in³

           π = 3.14

find: radius r

solution:

371 = 4 (3.14) r³

         3

simplify:

371 (3) = 4(3.14) r³

371 (3) =  r³

4(3.14)

r³ =  1113  

      12.56

r = \(\sqrt[3]{88.61}\)

r = 4.5 in. therefore, the answer is B.

After 12.6 s, a spinning roulette wheel has slowed down to an angular velocity of 1.32 rad/s. During this time, the wheel has an angular acceleration of -6.07 rad/s² . Determine the angular displacement of the wheel.

Answers

The angular displacement of the wheel after 12.6 s is approximately -477.51 rad. This means that the wheel has rotated counterclockwise by 477.51 radians.

To determine the angular displacement of the wheel, we can use the equations of angular motion.

The angular displacement (θ) is related to the initial angular velocity (ω₀), the final angular velocity (ω), and the angular acceleration (α) through the equation: θ = ω₀t + (1/2)αt²

In this case, the initial angular velocity (ω₀) is not given, but we can assume it to be zero since the problem states that the wheel has slowed down.

The final angular velocity (ω) is given as 1.32 rad/s, and the angular acceleration (α) is given as -6.07 rad/s². The time (t) is given as 12.6 s.

Substituting these values into the equation, we have:

θ = 0 + (1/2)(-6.07)(12.6)²

Calculating this expression, we find:

θ ≈ -477.51 rad

The negative sign indicates that the angular displacement is in the opposite direction of the initial motion.

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please can someone help me really fast! i need youuu please it would be a massive help :))

please can someone help me really fast! i need youuu please it would be a massive help :))

Answers

2c+3a=61
3c+5a=96

6c+9a=183
-6c-10a=-192
-a=-9
The cost of an adult ticket is £9
2c+27=61
c=1/2 * 34 = 17
The cost of a child ticket it £17
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our physics club has $20$ members, among which we have $3$ officers: president, vice president, and treasurer. however, one member, alex, hates another member, bob. how many ways can we fill the offices if alex refuses to serve as an officer if bob is also an officer? (no person is allowed to hold more than one office.) A box of Thanksgiving presents slides across a waxy floor at 20m/s. It comes to a stop in 4 seconds. What distance did the box travel across the floor? The government resource that helps low-income families, seniors, and people with disabilities get into affordable places to live is called iS accommodation assistance, home energy assistance,subsidized housing? the Affordable Shelter Act In which of the following cases is there an adverse selection problem? A A motor insurance market, in which the insurers do not know how carefully the insured people drive B A health Insurance market, in which the insurers do not know whether or not the applicants for insurance are habitant mokers C Employees may take less care of office technology like laptops or even incentives like company cars because their employer will pay for them if damaged Afirm that employs home-workers, but cannot observe how hard they are working E All the above are cases of moral hazard problem Newspapers ask intimate questions want confessions they reach into my head to steal the glory of my story and i give you brailiest "Wonder"Natalie MerchantWhat does the speaker in the song think about newspaper reporters? Check all that apply.a.They ask her too many personal questions.b.They want to tell her true story.c.They ask her to share private details about her life.d.They share their own stories with her.e.They are thieves, stealing her words. what is the range of the equation in the picture Determine the largest positive interger d such that d+10 is a divisor of d^3+2011 why is flood hazard mapping considered an important step in floodplain management? T/F : accurate assessment, diagnosis, and case conceptualization is dependent on the characteristics, values, and worldviews of the therapist. What is your opinion of the idea that accepting live difficulties make it easier to bear? Put the phases of the cardiac cycle in the correct order, starting after ventricular filling. isovolumetric contraction, ventricular ejection, isovolumetric relaxation ventricular ejection, ventricular relaxation, isovolumetric contraction 0.00005 in standard form solve pls brainliest the kb for a weak base is 1.00 x 10-9. what is the % ionization of a 2.00 m aqueous solution of the base? x + 6 + 3x = 5x - 4I need help because I dont really know how to do this. This is for geometry Soy Alfonso. Antes de vestirme para la escuela, primero me pongo el desodorante.Segundo, me peino el pelo con el cepillo. Tercero, me pongo los lentes de contacto ycuarto, me pongo colonia.What does Alfonso do first?O He puts on deodorant.He puts in his contacts.He puts on cologne.He combs his hair. Fadhil deposits RM100 at the beginning of the first year, RM200 at the beginning of the second year, and RM250 at the beginning of the third year in a bank, what will be his future amount if the interest rate is 10 percent. Answer A. RM450.10 B. RM550.10 C. RM600.10 D. RM650.10 What caused the Confederates to surrender at Vicksburg?A) The Union army drove them away.B) A general was killed in the attack.C) They ran out of food and bullets. Solve the equation.4(x 6) = 16 A. 8 B. 10 C. 10 D. 12 Using the data for age given in Exercise 3.3, (a) Plot an equal-width histogram of width 10. (b) Sketch examples of each of the following sampling techniques: SRSWOR, SRSWR, cluster sampling, and stratified sampling. Use samples of size 5 and the strata youth, middle-aged, and senior.